Search a number
-
+
3493023016344 = 2332353119395099
BaseRepresentation
bin110010110101001000011…
…001010110010110011000
3110100221002210001111101120
4302311020121112112120
5424212202343010334
611232401141445240
7510235236515301
oct62651031262630
913327083044346
103493023016344
111127423480084
12484b7a410820
131c4510373084
14c10c56717a8
1560cdcaa7949
hex32d48656598

3493023016344 has 64 divisors (see below), whose sum is σ = 9284162976000. Its totient is φ = 1092703936896.

The previous prime is 3493023016313. The next prime is 3493023016391. The reversal of 3493023016344 is 4436103203943.

It is a super-2 number, since 2×34930230163442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3493023016296 and 3493023016305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59668294 + ... + 59726805.

It is an arithmetic number, because the mean of its divisors is an integer number (145065046500).

Almost surely, 23493023016344 is an apocalyptic number.

It is an amenable number.

3493023016344 is an abundant number, since it is smaller than the sum of its proper divisors (5791139959656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3493023016344 is a wasteful number, since it uses less digits than its factorization.

3493023016344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119395184 (or 119395180 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The spelling of 3493023016344 in words is "three trillion, four hundred ninety-three billion, twenty-three million, sixteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 53 69 92 106 138 159 184 212 276 318 424 552 636 1219 1272 2438 3657 4876 7314 9752 14628 29256 119395099 238790198 358185297 477580396 716370594 955160792 1432741188 2746087277 2865482376 5492174554 6327940247 8238261831 10984349108 12655880494 16476523662 18983820741 21968698216 25311760988 32953047324 37967641482 50623521976 65906094648 75935282964 145542625681 151870565928 291085251362 436627877043 582170502724 873255754086 1164341005448 1746511508172 3493023016344